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QuestionDots sold T-shirts (\$7) and shorts (\$7). Total sales in April were \$588. T-shirts sold were 6 times shorts. Find quantities.

Studdy Solution

STEP 1

Assumptions1. The price of a-shirt is 7.Thepriceofshortsis7. The price of shorts is 73. The total sales amount in April is $5884. The number of-shirts sold is6 times the number of shorts sold

STEP 2

Let's denote the number of shorts sold as x. Then, the number of-shirts sold is6x.

STEP 3

The total sales amount is the sum of the cost of the-shirts and the cost of the shorts. We can write this as an equationTotal sales=Cost of −shirts+Cost of shortsTotal\, sales = Cost\, of\,-shirts + Cost\, of\, shorts

STEP 4

Substitute the given values into the equation. The cost of each item is its price multiplied by the quantity sold.
$588=$7×6x+$7×x\$588 = \$7 \times6x + \$7 \times x

STEP 5

implify the equation.
$588=$42x+$7x\$588 = \$42x + \$7x

STEP 6

Combine like terms.
$588=$49x\$588 = \$49x

STEP 7

To find the number of shorts sold (x), divide both sides of the equation by49.
x=$588/$49x = \$588 / \$49

STEP 8

Calculate the value of x.
x=$588/$49=12x = \$588 / \$49 =12

STEP 9

Now that we know the number of shorts sold, we can find the number of-shirts sold by multiplying the number of shorts by6.
Number of −shirts=6×Number of shortsNumber\, of\,-shirts =6 \times Number\, of\, shorts

STEP 10

Substitute the value of the number of shorts into the equation.
Number of −shirts=6×12Number\, of\,-shirts =6 \times12

STEP 11

Calculate the number of-shirts.
Number of −shirts=6×=72Number\, of\,-shirts =6 \times =72ots sold72-shirts and shorts.

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